Find the exact length of the third side.
10
24

The graph will bounce like a polynomial of degree equal to the multiplicity minus 1.

What is polynomial?

A polynomial is a mathematical expression that consists of variables and coefficients, which are combined using arithmetic operations such as addition, subtraction, multiplication, and non-negative integer exponents.

The power of the factor that causes the graph to bounce at the corresponding zero depends on the multiplicity of the zero.

If the zero has odd multiplicity, the graph will cross the x-axis at the zero, meaning there will be no bounce.

If the zero has even multiplicity, the graph will bounce at the zero. Specifically, if the multiplicity is 2, the graph will bounce like a parabola; if the multiplicity is 4, the graph will bounce like a quartic; and so on. In general, the graph will bounce like a polynomial of degree equal to the multiplicity minus 1.

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Answer:

Simplify 3log3(-5) = undefined?

Step-by-step explanation:

Hope it helps :))))) .....

Answer:

68% of the data points lie between 10 and 18.

Step-by-step explanation:

one standard deviation to left of mean = 14 - 4 =10

one standard deviation to right of mean = 14 + 4 = 18

68% of data is in this region.

so the answer is 68% of the data points lie between 10 and 18.

Answer:

\(m = \frac{ - 30 - ( - 80)}{20 - 0} = \frac{50}{20} = 2 \frac{1}{2} \)

A. The elevator traveled upward at a rate of 2 1/2 feet per second. -30 > -80.

Answer:

4+3+6+2 = 15

Step-by-step explanation:

selecting a yellow marker 4/15

selecting a red marker 2/15

Answer:

9-9=0

Step-by-step explanation:

Answer:

x-9=0

x-9+9=0+9

x=9

Option A

Answer:

The solution is x = -15.

Step-by-step explanation:

4x - 5 = 0

Add 5 to both sides:

4x = 5

Divide both sides by 4:

x = 5/4

Therefore, the solution is x = 5/4.

3x - 1/2 = 0

Add 1/2 to both sides:

3x = 1/2

Divide both sides by 3:

x = 1/6

Therefore, the solution is x = 1/6.

1/3x + 5 = 0

Subtract 5 from both sides:

1/3x = -5

Multiply both sides by 3:

x = -15

Therefore, the solution is x = -15.

Step-by-step explanation:

4x-5=0

collect like terms,

4x=5

divide both sides by the coefficient of x, 4

4x/4 = 5\4

4 cancels out on the LHS,

we have x=5\4 as the answer

3x-1\2=0

collect like terms..

3x=1\2

since the RHS is a fraction ,we multiply both sides by 2

6x=1

divide both sides by 6

x=1\6

1\3x+5=0

collect lkke terms...

1\3x=-5

cross multiply, we have

-5(3x)=1

-15x=1

x=1/-15

Answer:

\({19}C_1=19\)

Step-by-step explanation:

We need to find the value of \({19}C_1\).

C stands for combination.

The formula of combination is as follows :

\(nC_r=\dfrac{n!}{r!(n-r)!}\)

Here,

n = 19 and r = 1

So,

\(nC_r=\dfrac{19!}{1!(19-1)!}\\\\nC_r=\dfrac{19!}{1!\times 18!}\\\\nC_r=\dfrac{19\times 18!}{1!\times 18!}\\\\nC_r=19\)

So, the value of \({19}C_1\) is 19.

Answer:

Your answer will be 19C1 =19

Answer:

The third one

Step-by-step explanation:

use process of elimination to find the answer

Answer:

Step-by-step explanation:

im not old enough to have a job

Answer:

b) 200 square inches

Step-by-step explanation:

Area of a pentagon: A = 1/2 * 5(side)(apothem).

A = 1/2 * 5(side)(apothem).

A = 1/2 * 5(10)(8).

A = 1/2 * 5(80).

A = 1/2 * 400

A = 200 square inches

The highest point for the quadratic function for the height of the object, h(t) = -16·t² + 224·t + 816, indicates that the interval over which the height of the object is increasing is; (-∞, 7]

The shape of the graph of a quadratic function is a parabola.

The function for the height of the object in question 3 is; h(t) = -16·t² + 224·t + 816

Where;

t = The time in seconds

The height of the object is increasing in the interval to the left of the highest point, which can be found as follows;

The x-coordinate of the highest point of the quadratic function, f(x) = a·x² + b·x + c is; x = -b/(2·a)

Therefore, the x-coordinates of the highest point of the object is; -224/(2 × (-16)) = 7

Therefore, the height of the object is increasing in the interval; -∞ < t ≤ 7

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I need to deposit $1558.41 to have $2000 in the account in 5 years.

What is compound interest?

The interest charged on a debt or deposit is known as compound interest. It is the idea that we use the most regularly. Compound interest is calculated for a sum based on both the principal and cumulative interest.

    ∴ Compound interest = P(1 + \(\frac{r}{100*12}\))ⁿ  (∵ for monthly interest)

        P = Principal

        r = rate of interest per month

        n = number of months

Given:

r = 5% per month

n = 5 years = 5*12 = 60 months

  CI = P (1+5/(12 * 100))⁶⁰

2000 = P(1.0041)⁶⁰

2000 = P(1.2834)

      P = 1558.41

Therefore, the amount required to deposit is 1558.41 dollars to get 2000 dollars after 5 years with 5 percent interest per month.

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Answer:

3

Step-by-step explanation:

he pattern is continued by adding 3 to the last number each time, like this: 1, 8, 27, 64, 125, 216, 343, 512, 729

Answer:

Use normalcdf ( 1.75, 1.85, 1.84, 0.07 )

Doc and Marty should have laptimes between 1.75 and 1.85 approximately 45.75% of the time.

Step-by-step explanation:

Answer:

1) Multiply the whole number part by the fraction's denominator.

2) Add that to the numerator.

3) Then write the result on top of the denominator.

Step-by-step explanation:

Hope this helps!

Answer:

Explanation

|

Step-by-step explanation:

you you multiply the whole number by the denominator and then add the numerator to that number.

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(y = \stackrel{\stackrel{m}{\downarrow }}{-2}x+3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we're really looking for the equation of a line whose slope is -2 and that it passes through (0 , 1)

\((\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ - 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{- 2}(x-\stackrel{x_1}{0})\implies {\LARGE \begin{array}{llll} y=-2x+1 \end{array}}\)

An inequality to represent the cost of Jason’s food for the party is

An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is

The two options for buying wings and hot dogs include the following:

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:

Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;

7x + 5y ≤ 40

Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;

y ≥ 5

Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.

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Answer:

x = -5

Step-by-step explanation:

Answer:

  x = -5

Step-by-step explanation:

You want the solution to the equation 2x -10 = 4x.

Subtracting 2x from both sides gives ...

  -10 = 2x

Dividing both sides by 2 gives ...

  -5 = x

The solution is x = -5.

__

Additional comment

When all of the coefficients have a common factor, sometimes we like to divide the equation by that factor. Here, all of the coefficients are even, so we can start by dividing the equation by 2:

  x -5 =2x

Now subtracting x gives the solution:

  -5 = x

It still takes 2 steps, so the approach you take will be the one you're most comfortable with.

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Answer:

5a. n

5b. 2n

5c. n=5

6. B

Step-by-step explanation:

5a.  You are trying to find what n is, the variable.

5b. 2n

5c.  Add 3 on both sides.

2n=10

Divide by 2

n=5

6. Divide by 2/5 on both sides, or multiply by 5/2.

5/2 * 1/8 = 5/16

Hope this helps!

5.)

A.) variable is n

B.) coefficient is 2

D.) soultion is 5

6.) B. 5/16

Answer:

g(x) = f(x–3) + 2

Step-by-step explanation:

If g(x) is just 3 spaces to the right and 2 spaces up from f(x), then g(x) = f(x–3) + 2

Subtracting the initial amount of water from the amount used, the remaining amount of water is given by:

1.) 3.075 gallons.

To find the remaining amount of water in the barrel, we have to subtract the initial amount by the amount used.

We have that:

Hence the remaining amount is:

15 - 11.925 = 3.075 gallons.

Which means that option 1 is correct.

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Answer: 3.075 gallons

Step-by-step explanation:

Step-by-step explanation:

Hope it's help you ♥️♥️

Answer: 12

Step-by-step explanation:

difference = subtraction

and = addition

times = multiplication

Therefore,

7x - 4 = 80

7x = 84

x = 12

Answer:

~9.27

Step-by-step explanation:

6*8+6=54

4*8=32

54+32=86

The square root of 86 is ~9.27

Answer: r=2.0%

Step-by-step explanation:

The value of a, b and c are found as 6, 10 and 2 respectively.

Values for exponents, commonly referred to as powers, indicate how many often to multiply a quantity by itself.

The given expression is;

\(4x^{8} y^{c} = \frac{24x^{b}y^{-3} }{ax^{2} y^{-5} }\)

Solving expression using the law of indices.

\(x^{8} y^{c} = \frac{6x^{b-2}y^{-3+5} }{a}\)

\(ax^{8} y^{c} = {6x^{b-2}y^{2} }\)

Comparing powers of both sides:

a = 6

8 = b-2 : b = 10

c = 2

Thus, the value of  a, b and c are found as 6, 10 and 2 respectively.

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The volume of the solid whose base is the region enclosed by the curve and the line is calculated as V = ∫ A(x) dx.

This solid has a base that is defined by a curve and a line, and its cross sections perpendicular to the x-axis are right isosceles triangles. We will use mathematical techniques to find the volume of this solid.

To find the volume of this solid, we need to use calculus. First, we need to determine the equation of the curve that forms the base of the solid. Once we have the equation, we can find the limits of integration that define the boundaries of the base region.

Next, we need to find an expression for the area of a cross section of the solid. We are given that these cross sections are right isosceles triangles. This means that the base and height of each triangle are equal. Let's call this length "a". Then, the area of each cross section is given by

=> A(x) = (1/2) * a²

To find the volume of the solid, we need to integrate the area of each cross section over the range of x values that define the base region. We can write the volume as V = ∫ A(x) dx.

To perform the integration, we need to determine the limits of integration. We can do this by finding the points where the curve intersects the line that defines the base region. Let's call these points (x1, y1) and (x2, y2). Then, the limits of integration are x1 and x2.

Finally, we need to substitute the expression for A(x) into the integral and evaluate it. The final result will give us the volume of the solid.

In summary, to find the volume of this solid, we need to use calculus. We first determine the equation of the curve that forms the base, then find an expression for the area of a cross section, and integrate this expression over the limits of integration that define the base region.

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